Discretized LKF method for stability of coupled differential-difference equations with multiple discrete and distributed delays

DOI10.1002/rnc.1733zbMath1274.93245OpenAlexW2035755263MaRDI QIDQ2857615

Hong-fei Liu

Publication date: 5 November 2013

Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/rnc.1733

zbMATH Keywords

distributed delayscoupled differential-functional equationsdiscretized LKF method

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (9)

Dissipative delay range analysis of coupled differential-difference delay systems with distributed delays ⋮ Lyapunov-Krasovskii characterization of the input-to-state stability for neutral systems in Hale's form ⋮ Positivity and exponential stability of coupled homogeneous time-delay differential-difference equations of degree one ⋮ A review of some subtleties of practical relevance for time-delay systems of neutral type ⋮ Inversion of Separable Kernel Operator and Its Application in Control Synthesis ⋮ Stability analysis of discrete-time coupled systems with delays ⋮ Positivity and exponential stability of discrete-time coupled homogeneous systems with time-varying delays ⋮ Direct and converse Lyapunov theorems for functional difference systems ⋮ Converse Lyapunov–Krasovskii theorems for systems described by neutral functional differential equations in Hale's form

Cites Work

• On the asymptotic stability of coupled delay differential and continuous time difference equations
• Delay-dependent robust stabilization for uncertain neutral systems with distributed delays
• Discretized Lyapunov-Krasovskii functional for coupled differential-difference equations with multiple delay channels
• Introduction to functional differential equations
• Lyapunov-Krasovskii functional for uniform stability of coupled differential-functional equations
• A new Lyapunov–Krasovskii methodology for coupled delay differential and difference equations
• Improved robustℋ_∞control for neutral systems via discretised Lyapunov-Krasovskii functional
• Novel delay-dependent Kalman/Luenberger-type filter design for neutral systems
• Oscillations in lossless propagation models: a Liapunov-Krasovskii approach
• On the stability of coupled delay differential and continuous time difference equations
• Stability of time-delay systems
• Robust control of uncertain distributed delay systems with application to the stabilization of combustion in rocket motor chambers

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